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Finding the Fourth Proportional to 88,176, 132,264.72 and 32,772

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Solution

The fourth proportional to 88,176, 132,264.72 and 32,772 is: 49,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,176 : 132,264.72 = 32,772 : x
  2. Step 2: Convert to fraction form
    88,176/132,264.72 = 32,772/x
  3. Step 3: Cross multiply
    88,176x = 132,264.72 × 32,772
  4. Step 4: Simplify right side
    88,176x = 4,334,579,403.84
  5. Step 5: Solve for x
    x = 4,334,579,403.84/88,176
  6. Step 6: Final answer
    x = 49,158.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.